Construction of nonlinear constitutive relations for elastic anisotropic materials

D. V. Khristich

Tula State University

Abstract: The inverse thermomechanical problem, which consists in determining the response in the form of deformations of an anisotropic elastic body to the process of loading and temperature changes is formulated in the case of finite strains. The thermomechanical problem is solved within the framework of generalizations of the particular postulate of isotropy by A.A. Ilyushin for the case of finite strains of anisotropic bodies. On the basis of the Gibbs thermodynamic potential, nonlinear constitutive relations are constructed in the form resolved with respect to strains.

Keywords: nonlinear constitutive relations, anisotropic materials, the particular postulate of isotropy, Gibbs potential.

UDC: 539.3

Received: 20.08.2023
Accepted: 01.12.2023

DOI: 10.37972/chgpu.2023.57.3.002